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Finding the Fourth Proportional to 3,413.35, 4,709.82 and 1,921.15

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Solution

The fourth proportional to 3,413.35, 4,709.82 and 1,921.15 is: 2,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.35 : 4,709.82 = 1,921.15 : x
  2. Step 2: Convert to fraction form
    3,413.35/4,709.82 = 1,921.15/x
  3. Step 3: Cross multiply
    3,413.35x = 4,709.82 × 1,921.15
  4. Step 4: Simplify right side
    3,413.35x = 9,048,270.69
  5. Step 5: Solve for x
    x = 9,048,270.69/3,413.35
  6. Step 6: Final answer
    x = 2,650.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.